A Semialgebraic Description of the General Markov Model on Phylogenetic Trees

DOI10.1137/120901568zbMath1300.60085arXiv1212.1200OpenAlexW2962993072MaRDI QIDQ3192161

John A. Rhodes, Amelia Taylor, Elizabeth S. Allman

Publication date: 26 September 2014

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1200

zbMATH Keywords

semialgebraic setphylogenetic treephylogenetic varietygeneral Markov model

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Protein sequences, DNA sequences (92D20) Semialgebraic sets and related spaces (14P10)

Related Items (10)

Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model ⋮ Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants ⋮ Parsimony and the rank of a flattening matrix ⋮ Designing weights for quartet-based methods when data are heterogeneous across lineages ⋮ Bounded-rank tensors are defined in bounded degree ⋮ The inertia of the symmetric approximation for low-rank matrices ⋮ Gaussian tree constraints applied to acoustic linguistic functional data ⋮ Conditional independence ideals with hidden variables ⋮ Fixed points of the EM algorithm and nonnegative rank boundaries ⋮ Tensors of nonnegative rank two

This page was built for publication: A Semialgebraic Description of the General Markov Model on Phylogenetic Trees